Temperature fields generated by a circular heat source (CHS) in an infinite medium: Analytical derivation and comparison to finite element modeling. (November 2018)

• Record Type: Journal Article
• Authors: Emanuel, Michael; Bhouri, Maha; Ackermann, Sarah L.G.; Groulx, Dominic; Maassen, Jesse
• Is Part Of: International journal of heat and mass transfer. Volume 126(2018)Part A
• Page Start: 1265
• Page End: 1274
• Publication Date: 2018-11
• Subjects: Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2018.05.102
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: Analytical 3D transient temperature fields driven by a circular heat source. Comparison of analytical solutions and finite element modeling. Accurate extraction of thermal material transport properties. Abstract: This paper is the first in a series of papers describing the temperature fields created by a circular area heat source (CHS) in various situations. In this paper, the derivation of the solution of the 3D transient heat flow from an embedded finite CHS supplying heat to an infinite medium is shown by employing different methods. The different adopted techniques include Laplace, Hankel and Fourier Cosine transforms, and solutions are based on first principles with minimum assumptions. Both isotropic and orthotropic infinite media are considered. Finite element simulations performed in COMSOL Multiphysics are provided and compared with the analytical solutions, with deviations between analytical solution and simulation of <1 mK for a typical temperature rise of 1 K. Fitting of the numerical results with the analytical solutions is performed to extract the thermal transport properties of the media, which are found to deviate by a maximum of 1.7% for all considered cases.